Question

Sylvia has a piece of material that is 668.36 square inches. She marked the material into 4 equal pieces and then cut out one of the pieces. How much of the material remains? Round the answer to the nearest hundredth.
125.32 square inches
167.09 square inches
222.79 square inches
501.27 square inches

Answer 1

The whole magic jug had 668.36 ounces of mysterious elixir in it.
Sylvia came along and marked it into 4 equal amounts, so each
amount was  (1/4)  of  (668.36 ounces).

Now, you would have us believe, she tucked the magic jug under her cloak,
walked quickly and quietly down the hall into the shadows, pulled the jug out,
and quaffed one of the equal amounts from it, all in one slug.

The quantity remaining in the jug was then 

                     (3/4) of (668.36 ounces)  =  501.27 ounces.

The same process works for length, volume, area, stones, money, anything.
If you divide up what you have into 4 equal parts, then each part is 1/4 .
If you eat, sell, lose, or give away  1/4  of it, you have  3/4  left.

Answer 2

Answer:

$501.27\ in^{2}$

Step-by-step explanation:

we know that

1)The total material is $668.36\ in^{2}$

2) Sylvia  marked the material into $4$ equal pieces

so

Divide $668.36\ in^{2}$ by $4$

$668.36\ in^{2}/4=167.09\ in^{2}$ -----> area of each piece

3) Sylvia cut out one of the pieces

so

To find how much of the materials remains subtract the area of one piece from the total area of the material

$668.36\ in^{2}-167.09\ in^{2}=501.27\ in^{2}$